## Abstract Let __T__ be a compact disjointness preserving linear operator from __C__~0~(__X__) into __C__~0~(__Y__), where __X__ and __Y__ are locally compact Hausdorff spaces. We show that __T__ can be represented as a norm convergent countable sum of disjoint rank one operators. More precisely,
✦ LIBER ✦
Solutions of Two Problems in the Theory of Disjointness Preserving Operators
✍ Scribed by Ayşe Uyar
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 102 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1385-1292
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